Finding the Fourth Proportional to 9,890.89, 13,649.59 and 5,414.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,890.89 : 13,649.59 = 5,414.57 : x
2. Step 2: Convert to fraction form
   9,890.89/13,649.59 = 5,414.57/x
3. Step 3: Cross multiply
   9,890.89x = 13,649.59 × 5,414.57
4. Step 4: Simplify right side
   9,890.89x = 73,906,578.74
5. Step 5: Solve for x
   x = 73,906,578.74/9,890.89
6. Step 6: Final answer
   x = 7,472.19